Search a number
-
+
14172689608 = 237111719223163
BaseRepresentation
bin11010011001100001…
…00001010011001000
31100120201102020011221
431030300201103020
5213011202031413
610302201531424
71011132605530
oct151460412310
940521366157
1014172689608
116013128520
1228b64a3b74
13144b32348c
149863ca4c0
1557e39568d
hex34cc214c8

14172689608 has 384 divisors, whose sum is σ = 38870046720. Its totient is φ = 4680529920.

The previous prime is 14172689599. The next prime is 14172689689. The reversal of 14172689608 is 80698627141.

It is a super-2 number, since 2×141726896082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86948935 + ... + 86949097.

It is an arithmetic number, because the mean of its divisors is an integer number (101224080).

Almost surely, 214172689608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14172689608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435023360).

14172689608 is an abundant number, since it is smaller than the sum of its proper divisors (24697357112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14172689608 is a wasteful number, since it uses less digits than its factorization.

14172689608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 14172689608 in words is "fourteen billion, one hundred seventy-two million, six hundred eighty-nine thousand, six hundred eight".